Search a number
-
+
20133331201332 = 2232559259200037
BaseRepresentation
bin1001001001111101010000…
…00011011110110100110100
32122021201122110122022102200
410210332220003132310310
510114331030241420312
6110453042532304500
74145404500362316
oct444765003366464
978251573568380
1020133331201332
116462552652018
122311b83a72130
13b307463735cb
144d865bd057b6
1524daaa3b20dc
hex124fa80ded34

20133331201332 has 18 divisors (see below), whose sum is σ = 50892587203458. Its totient is φ = 6711110400432.

The previous prime is 20133331201147. The next prime is 20133331201429. The reversal of 20133331201332 is 23310213333102.

20133331201332 is a `hidden beast` number, since 2 + 0 + 1 + 333 + 312 + 0 + 13 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12650228704656 + 7483102496676 = 3556716^2 + 2735526^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×201333312013323 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20133331201296 and 20133331201305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 279629599983 + ... + 279629600054.

Almost surely, 220133331201332 is an apocalyptic number.

It is an amenable number.

20133331201332 is an abundant number, since it is smaller than the sum of its proper divisors (30759256002126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20133331201332 is a wasteful number, since it uses less digits than its factorization.

20133331201332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559259200047 (or 559259200042 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 20133331201332 its reverse (23310213333102), we get a palindrome (43443544534434).

The spelling of 20133331201332 in words is "twenty trillion, one hundred thirty-three billion, three hundred thirty-one million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 559259200037 1118518400074 1677777600111 2237036800148 3355555200222 5033332800333 6711110400444 10066665600666 20133331201332